David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Perspectives on Science 14 (3):282-301 (2006)
The thirty year long friendship between Imre Lakatos and the classic scholar and historian of mathematics Árpád Szabó had a considerable influence on the ideas, scholarly career and personal life of both scholars. After recalling some relevant facts from their lives, this paper will investigate Szabó's works about the history of pre-Euclidean mathematics and its philosophy. We can find many similarities with Lakatos' philosophy of mathematics and science, both in the self-interpretation of early axiomatic Greek mathematics as Szabó reconstructs it, and in the general overview Szabó provides us about the turn from the intuitive methods of Greek mathematicians to the strict axiomatic method of Euclid's Elements. As a conclusion, I will argue that the correct explanation of these similarities is that in their main works they developed ideas they had in common from the period of intimate intellectual contact in Hungarian academic life in the mid-twentieth century. In closing, I will recall some relevant features of this background that deserve further research
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Uwe Riss (2011). Objects and Processes in Mathematical Practice. Foundations of Science 16 (4):337-351.
Similar books and articles
J. Kadvany (2012). Chocolate and Chess (Unlocking Lakatos). [REVIEW] Philosophy of the Social Sciences 42 (2):276-286.
Michael Boylan (1983). Book Review:Philosophy of Mathematics and Deductive Structure in Euclid's Elements Ian Mueller; The Beginnings of Greek Mathematics Arpad Szabo, A. M. Ungar. [REVIEW] Philosophy of Science 50 (4):665-.
Jerome R. Ravetz (2004). An Hungarian Tragedy. Inquiry 47 (4):413 – 422.
Ivor Bulmer-Thomas (1980). Greek Mathematics Árpad Szabó: The Beginnings of Greek Mathematics. (Synthese Historical Library, 17.) Pp. 358. Dordrecht (Holland), Boston (U.S.A.): 1978. Fl. 100, U.S.$47.50. [REVIEW] The Classical Review 30 (01):123-124.
T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
Paul Ernest (1997). The Legacy of Lakatos: Reconceptualising the Philosophy of Mathematics. Philosophia Mathematica 5 (2):116-134.
Imre Lakatos (1978). Mathematics, Science, and Epistemology. Cambridge University Press.
Deszo Gurka (2006). A Missing Link: The Infuence of László Kalmár's Empirical View on Lakatos' Philosophy of Mathematics. Perspectives on Science 14 (3):263-281.
Brendan P. Larvor (1997). Lakatos as Historian of Mathematics. Philosophia Mathematica 5 (1):42-64.
Added to index2009-01-28
Total downloads12 ( #133,368 of 1,099,909 )
Recent downloads (6 months)1 ( #303,846 of 1,099,909 )
How can I increase my downloads?